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Numerical Solution to H∞ Control of Multi-Delayed Systems via Operator Approach

Barabanov, A. and Ghulchak, Andrey LU (2000) In Proceedings of the 39th IEEE Conference on Decision and Control, 2000. 5. p.4227-4232
Abstract
A computational algorithm for the full information H∞ control problem for multi-delayed LTI systems is derived. The algorithm is based on a general operator approach in the spectral domain developed for finite-dimensional LTI plants. The simplicity of spectral operations and explicit formulas for computation make it possible to generalize it to infinite-dimensional plants. In the paper, a complete computational solution for such a plant with several delays in the output, control and disturbance is obtained and illustrated with a simple example
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
control, H∞, Fourier transforms, closed loop systems delay systems linear systems multidimensional systems stability, algebra
in
Proceedings of the 39th IEEE Conference on Decision and Control, 2000.
volume
5
pages
4227 - 4232
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • Scopus:0034440335
ISBN
0-7803-6638-7
DOI
10.1109/CDC.2001.914562
language
English
LU publication?
yes
id
47fa769b-dbf9-406b-bfd7-1292f4fd3353 (old id 537988)
date added to LUP
2007-09-13 08:41:45
date last changed
2017-01-01 07:58:30
@inproceedings{47fa769b-dbf9-406b-bfd7-1292f4fd3353,
  abstract     = {A computational algorithm for the full information H∞ control problem for multi-delayed LTI systems is derived. The algorithm is based on a general operator approach in the spectral domain developed for finite-dimensional LTI plants. The simplicity of spectral operations and explicit formulas for computation make it possible to generalize it to infinite-dimensional plants. In the paper, a complete computational solution for such a plant with several delays in the output, control and disturbance is obtained and illustrated with a simple example},
  author       = {Barabanov, A. and Ghulchak, Andrey},
  booktitle    = {Proceedings of the 39th IEEE Conference on Decision and Control, 2000.},
  isbn         = {0-7803-6638-7},
  keyword      = {control,H∞,Fourier transforms,closed loop systems    delay systems    linear systems    multidimensional systems    stability,algebra},
  language     = {eng},
  pages        = {4227--4232},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  title        = {Numerical Solution to H∞ Control of Multi-Delayed Systems via Operator Approach},
  url          = {http://dx.doi.org/10.1109/CDC.2001.914562},
  volume       = {5},
  year         = {2000},
}